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121032221232 = 243131273973847
BaseRepresentation
bin111000010111000010…
…1010010001000110000
3102120101221110212211110
41300232011102020300
53440333222034412
6131333524313320
711513201622516
oct1605605221060
9376357425743
10121032221232
114736959621a
121b559542840
13b54acc6570
145c024804b6
1532358edd3c
hex1c2e152230

121032221232 has 160 divisors (see below), whose sum is σ = 340312440832. Its totient is φ = 36844803072.

The previous prime is 121032221183. The next prime is 121032221251. The reversal of 121032221232 is 232122230121.

It is a junction number, because it is equal to n+sod(n) for n = 121032221199 and 121032221208.

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, 31459533 + ... + 31463379.

Almost surely, 2121032221232 is an apocalyptic number.

121032221232 is a gapful number since it is divisible by the number (12) 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 121032221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170156220416).

121032221232 is an abundant number, since it is smaller than the sum of its proper divisors (219280219600).

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

121032221232 is a wasteful number, since it uses less digits than its factorization.

121032221232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4395 (or 4389 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 121032221232 its reverse (232122230121), we get a palindrome (353154451353).

The spelling of 121032221232 in words is "one hundred twenty-one billion, thirty-two million, two hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 127 156 208 254 312 381 397 508 624 762 794 1016 1191 1524 1588 1651 2032 2382 3048 3176 3302 3847 4764 4953 5161 6096 6352 6604 7694 9528 9906 10322 11541 13208 15388 15483 19056 19812 20644 23082 26416 30776 30966 39624 41288 46164 50011 50419 61552 61932 79248 82576 92328 100022 100838 123864 150033 151257 184656 200044 201676 247728 300066 302514 400088 403352 488569 600132 605028 655447 800176 806704 977138 1200264 1210056 1310894 1465707 1527259 1954276 1966341 2400528 2420112 2621788 2931414 3054518 3908552 3932682 4581777 5243576 5862828 6109036 6351397 7817104 7865364 9163554 10487152 11725656 12218072 12702794 15730728 18327108 19054191 19854367 23451312 24436144 25405588 31461456 36654216 38108382 39708734 50811176 59563101 73308432 76216764 79417468 101622352 119126202 152433528 158834936 193961893 238252404 304867056 317669872 387923786 476504808 581885679 775847572 953009616 1163771358 1551695144 2327542716 2521504609 3103390288 4655085432 5043009218 7564513827 9310170864 10086018436 15129027654 20172036872 30258055308 40344073744 60516110616 121032221232