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11211202022112 = 253240739955541
BaseRepresentation
bin1010001100100100111110…
…1101101100101011100000
31110200210001221112001021200
42203021033231230223200
52432141020204201422
635502204411521200
72234661015562041
oct243111755545340
943623057461250
1011211202022112
11363270a2a2124
121310980a59200
1363429a482381
142aa8a72b48c8
151469682c62ac
hexa324fb6cae0

11211202022112 has 72 divisors (see below), whose sum is σ = 31882671704520. Its totient is φ = 3736971697920.

The previous prime is 11211202022051. The next prime is 11211202022129. The reversal of 11211202022112 is 21122020211211.

11211202022112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11255062 + ... + 12210602.

It is an arithmetic number, because the mean of its divisors is an integer number (442814884785).

Almost surely, 211211202022112 is an apocalyptic number.

11211202022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11211202022112 is an abundant number, since it is smaller than the sum of its proper divisors (20671469682408).

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

11211202022112 is a wasteful number, since it uses less digits than its factorization.

11211202022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996296 (or 996285 counting only the distinct ones).

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

Adding to 11211202022112 its reverse (21122020211211), we get a palindrome (32333222233323).

The spelling of 11211202022112 in words is "eleven trillion, two hundred eleven billion, two hundred two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 40739 81478 122217 162956 244434 325912 366651 488868 651824 733302 955541 977736 1303648 1466604 1911082 1955472 2866623 2933208 3822164 3910944 5733246 5866416 7644328 8599869 11466492 11732832 15288656 17199738 22932984 30577312 34399476 45865968 68798952 91731936 137597904 275195808 38927784799 77855569598 116783354397 155711139196 233566708794 311422278392 350350063191 467133417588 622844556784 700700126382 934266835176 1245689113568 1401400252764 1868533670352 2802800505528 3737067340704 5605601011056 11211202022112