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121956285997924 = 22727888132
BaseRepresentation
bin11011101110101100101001…
…000110101110001101100100
3120222210220111021000111100121
4123232230221012232031210
5111441112433203413144
61111213535551051324
734455023312616100
oct3356545106561544
9528726437014317
10121956285997924
113594a409063254
1211817b41510b44
135308575324811
142218a03da8900
15e17569a6b384
hex6eeb291ae364

121956285997924 has 27 divisors (see below), whose sum is σ = 248268468375417. Its totient is φ = 52266913453104.

The previous prime is 121956285997921. The next prime is 121956285997957. The reversal of 121956285997924 is 429799582659121.

The square root of 121956285997924 is 11043382.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 802941444900 + 121153344553024 = 896070^2 + 11006968^2 .

It is not an unprimeable number, because it can be changed into a prime (121956285997921) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 154212942 + ... + 155001754.

Almost surely, 2121956285997924 is an apocalyptic number.

121956285997924 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

121956285997924 is the 11043382-nd square number.

It is an amenable number.

121956285997924 is an abundant number, since it is smaller than the sum of its proper divisors (126312182377493).

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

121956285997924 is an frugal number, since it uses more digits than its factorization.

121956285997924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577644 (or 788822 counting only the distinct ones).

The product of its digits is 1763596800, while the sum is 79.

The spelling of 121956285997924 in words is "one hundred twenty-one trillion, nine hundred fifty-six billion, two hundred eighty-five million, nine hundred ninety-seven thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 196 788813 1577626 3155252 5521691 11043382 22086764 38651837 77303674 154607348 622225948969 1244451897938 2488903795876 4355581642783 8711163285566 17422326571132 30489071499481 60978142998962 121956285997924