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121337000367440 = 245111358271820213
BaseRepresentation
bin11011100101101011111000…
…110011100001010101010000
3120220121201000011211220100212
4123211223320303201111100
5111400441134043224230
61110021240510503252
734362210660614114
oct3345537063412520
9526551004756325
10121337000367440
1135730807505070
1211737b0bb04b28
135292050cc0450
1421d6a56677744
15e063c1a42895
hex6e5af8ce1550

121337000367440 has 160 divisors (see below), whose sum is σ = 331485258335616. Its totient is φ = 40721491630080.

The previous prime is 121337000367403. The next prime is 121337000367469. The reversal of 121337000367440 is 44763000733121.

121337000367440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65750774 + ... + 67570986.

Almost surely, 2121337000367440 is an apocalyptic number.

121337000367440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121337000367440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165742629167808).

121337000367440 is an abundant number, since it is smaller than the sum of its proper divisors (210148257968176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121337000367440 is a wasteful number, since it uses less digits than its factorization.

121337000367440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826077 (or 1826071 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 41.

The spelling of 121337000367440 in words is "one hundred twenty-one trillion, three hundred thirty-seven billion, three hundred sixty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 5827 11440 11654 23308 29135 46616 58270 64097 75751 93232 116540 128194 151502 233080 256388 303004 320485 378755 466160 512776 606008 640970 757510 833261 1025552 1212016 1281940 1515020 1666522 1820213 2563880 3030040 3333044 3640426 4166305 5127760 6060080 6666088 7280852 8332610 9101065 13332176 14561704 16665220 18202130 20022343 23662769 29123408 33330440 36404260 40044686 47325538 66660880 72808520 80089372 94651076 100111715 118313845 145617040 160178744 189302152 200223430 236627690 260290459 320357488 378604304 400446860 473255380 520580918 800893720 946510760 1041161836 1301452295 1601787440 1893021520 2082323672 2602904590 4164647344 5205809180 10411618360 10606381151 20823236720 21212762302 42425524604 53031905755 84851049208 106063811510 116670192661 137882954963 169702098416 212127623020 233340385322 275765909926 424255246040 466680770644 551531819852 583350963305 689414774815 848510492080 933361541288 1103063639704 1166701926610 1378829549630 1516712504593 1866723082576 2206127279408 2333403853220 2757659099260 3033425009186 4666807706440 5515318198520 6066850018372 7583562522965 9333615412880 11030636397040 12133700036744 15167125045930 24267400073488 30334250091860 60668500183720 121337000367440