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121231222202100 = 223524121222719661
BaseRepresentation
bin11011100100001001010111…
…111011110101111011110100
3120220020120222022120100101110
4123210021113323311323310
5111342223020340431400
61105500504333355020
734351444462214403
oct3344112773657364
9526216868510343
10121231222202100
113569a96649490a
121171b50b038a70
13528509437577a
1421d18a007163a
15e037803dde50
hex6e4257ef5ef4

121231222202100 has 216 divisors, whose sum is σ = 359573870111904. Its totient is φ = 31535646592000.

The previous prime is 121231222202033. The next prime is 121231222202117. The reversal of 121231222202100 is 1202222132121.

It is a super-2 number, since 2×1212312222021002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6166066270 + ... + 6166085930.

Almost surely, 2121231222202100 is an apocalyptic number.

121231222202100 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 121231222202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179786935055952).

121231222202100 is an abundant number, since it is smaller than the sum of its proper divisors (238342647909804).

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

121231222202100 is a wasteful number, since it uses less digits than its factorization.

121231222202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31987 (or 31939 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 121231222202100 its reverse (1202222132121), we get a palindrome (122433444334221).

The spelling of 121231222202100 in words is "one hundred twenty-one trillion, two hundred thirty-one billion, two hundred twenty-two million, two hundred two thousand, one hundred".