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121122312000000 = 2935637136399
BaseRepresentation
bin11011100010100011111100…
…011000011001001000000000
3120212212011212011210211200120
4123202203330120121020000
5111333431443333000000
61105334453314020240
734340540542606323
oct3342437430311000
9525764764724616
10121122312000000
1135658758521023
1211702395277680
135277a288969bc
1421ca4cb8d27ba
15e00a08d146a0
hex6e28fc619200

121122312000000 has 560 divisors, whose sum is σ = 414245760086400. Its totient is φ = 31426099200000.

The previous prime is 121122311999999. The next prime is 121122312000013. The reversal of 121122312000000 is 213221121.

It is a super-2 number, since 2×1211223120000002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 887931801 + ... + 888068199.

Almost surely, 2121122312000000 is an apocalyptic number.

121122312000000 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 121122312000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207122880043200).

121122312000000 is an abundant number, since it is smaller than the sum of its proper divisors (293123448086400).

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

121122312000000 is an frugal number, since it uses more digits than its factorization.

121122312000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136487 (or 136446 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 121122312000000 its reverse (213221121), we get a palindrome (121122525221121).

The spelling of 121122312000000 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, three hundred twelve million", and thus it is an aban number.