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121430034440 = 235111337975591
BaseRepresentation
bin111000100010111001…
…0110100100000001000
3102121102200000212221222
41301011302310200020
53442142042100230
6131441215021212
711526102156011
oct1610562644010
9377380025858
10121430034440
11475530a8170
121b64a80a808
13b5b25506b0
145c3d236008
15325a7ce6e5
hex1c45cb4808

121430034440 has 128 divisors (see below), whose sum is σ = 321124849920. Its totient is φ = 40741708800.

The previous prime is 121430034433. The next prime is 121430034449. The reversal of 121430034440 is 44430034121.

It is a super-2 number, since 2×1214300344402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (121430034449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21716045 + ... + 21721635.

It is an arithmetic number, because the mean of its divisors is an integer number (2508787890).

Almost surely, 2121430034440 is an apocalyptic number.

121430034440 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 121430034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160562424960).

121430034440 is an abundant number, since it is smaller than the sum of its proper divisors (199694815480).

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

121430034440 is a wasteful number, since it uses less digits than its factorization.

121430034440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9423 (or 9419 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 121430034440 its reverse (44430034121), we get a palindrome (165860068561).

The spelling of 121430034440 in words is "one hundred twenty-one billion, four hundred thirty million, thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 3797 5591 5720 7594 11182 15188 18985 22364 27955 30376 37970 41767 44728 49361 55910 61501 72683 75940 83534 98722 111820 123002 145366 151880 167068 197444 208835 223640 246004 246805 290732 307505 334136 363415 394888 417670 492008 493610 542971 581464 615010 726830 799513 835340 987220 1085942 1230020 1453660 1599026 1670680 1974440 2171884 2460040 2714855 2907320 3198052 3997565 4343768 5429710 6396104 7995130 10859420 15990260 21229027 21718840 31980520 42458054 84916108 106145135 169832216 212290270 233519297 275977351 424580540 467038594 551954702 849161080 934077188 1103909404 1167596485 1379886755 1868154376 2207818808 2335192970 2759773510 3035750861 4670385940 5519547020 6071501722 9340771880 11039094040 12143003444 15178754305 24286006888 30357508610 60715017220 121430034440