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121212021112002 = 23267736172750021
BaseRepresentation
bin11011100011110111011111…
…011101011111110011000010
3120220011202102011022220111100
4123203313133131133303002
5111341414204401041002
61105444011143355230
734350164610514032
oct3343673735376302
9526152364286440
10121212021112002
1135692802a21707
1211717850752b16
13528332435b7b2
1421d099bd0d8c2
15e0300988211c
hex6e3ddf75fcc2

121212021112002 has 48 divisors (see below), whose sum is σ = 263086783677432. Its totient is φ = 40333157329920.

The previous prime is 121212021111983. The next prime is 121212021112003. The reversal of 121212021112002 is 200211120212121.

121212021112002 is a `hidden beast` number, since 1 + 212 + 120 + 211 + 120 + 0 + 2 = 666.

121212021112002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 97419683359881 + 23792337752121 = 9870141^2 + 4877739^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (121212021112003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42701752 + ... + 45451772.

Almost surely, 2121212021112002 is an apocalyptic number.

121212021112002 is an abundant number, since it is smaller than the sum of its proper divisors (141874762565430).

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

121212021112002 is a wasteful number, since it uses less digits than its factorization.

121212021112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754323 (or 2754320 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121212021112002 its reverse (200211120212121), we get a palindrome (321423141324123).

The spelling of 121212021112002 in words is "one hundred twenty-one trillion, two hundred twelve billion, twenty-one million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 677 1354 2031 3617 4062 6093 7234 10851 12186 21702 32553 65106 2448709 2750021 4897418 5500042 7346127 8250063 14692254 16500126 22038381 24750189 44076762 49500378 1861764217 3723528434 5585292651 9946825957 11170585302 16755877953 19893651914 29840477871 33511755906 59680955742 89521433613 179042867226 6734001172889 13468002345778 20202003518667 40404007037334 60606010556001 121212021112002