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1212120200096 = 251331372540323
BaseRepresentation
bin10001101000110111111…
…111100111001110100000
311021212200202000001212022
4101220313333213032200
5124324410232400341
62324501302321012
7153400316463251
oct21506777471640
94255622001768
101212120200096
1142806a286893
12176b00729168
138a3c1616540
144294a0b4b28
15217e3ca0e4b
hex11a37fe73a0

1212120200096 has 96 divisors (see below), whose sum is σ = 2724527973888. Its totient is φ = 526761169920.

The previous prime is 1212120200047. The next prime is 1212120200107. The reversal of 1212120200096 is 6900020212121.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 793010 + ... + 1747313.

It is an arithmetic number, because the mean of its divisors is an integer number (28380499728).

Almost surely, 21212120200096 is an apocalyptic number.

1212120200096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1212120200096 is an abundant number, since it is smaller than the sum of its proper divisors (1512407773792).

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

1212120200096 is a wasteful number, since it uses less digits than its factorization.

1212120200096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540414 (or 2540406 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 1212120200096 in words is "one trillion, two hundred twelve billion, one hundred twenty million, two hundred thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 31 32 37 52 62 74 104 124 148 208 248 296 403 416 481 496 592 806 962 992 1147 1184 1612 1924 2294 3224 3848 4588 6448 7696 9176 12896 14911 15392 18352 29822 36704 59644 119288 238576 477152 2540323 5080646 10161292 20322584 33024199 40645168 66048398 78750013 81290336 93991951 132096796 157500026 187983902 264193592 315000052 375967804 528387184 630000104 751935608 1023750169 1056774368 1221895363 1260000208 1503871216 2047500338 2443790726 2520000416 2913750481 3007742432 4095000676 4887581452 5827500962 8190001352 9775162904 11655001924 16380002704 19550325808 23310003848 32760005408 37878756253 39100651616 46620007696 75757512506 93240015392 151515025012 303030050024 606060100048 1212120200096