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102022121120112 = 24324006317684321
BaseRepresentation
bin10111001100100111100000…
…010010011110000101110000
3111101020012221000221201021200
4113030213200102132011300
5101333012301001320422
61000552152044051200
730326566161104004
oct2714474022360560
9441205830851250
10102022121120112
112a56437a72aa06
12b5386a1b33b00
1344c084c658cab
141b29c7b570704
15bbdc698532ac
hex5cc9e049e170

102022121120112 has 60 divisors (see below), whose sum is σ = 285527384673024. Its totient is φ = 34006522936320.

The previous prime is 102022121120093. The next prime is 102022121120131. The reversal of 102022121120112 is 211021121220201.

102022121120112 is a `hidden beast` number, since 1 + 0 + 20 + 221 + 211 + 201 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (102022121120093) and next prime (102022121120131).

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, 3073089 + ... + 14611232.

Almost surely, 2102022121120112 is an apocalyptic number.

102022121120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102022121120112 is an abundant number, since it is smaller than the sum of its proper divisors (183505263552912).

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

102022121120112 is a wasteful number, since it uses less digits than its factorization.

102022121120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17724398 (or 17724389 counting only the distinct ones).

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

Adding to 102022121120112 its reverse (211021121220201), we get a palindrome (313043242340313).

The spelling of 102022121120112 in words is "one hundred two trillion, twenty-two billion, one hundred twenty-one million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 40063 80126 120189 160252 240378 320504 360567 480756 641008 721134 961512 1442268 1923024 2884536 5769072 17684321 35368642 53052963 70737284 106105926 141474568 159158889 212211852 282949136 318317778 424423704 636635556 848847408 1273271112 2546542224 708486952223 1416973904446 2125460856669 2833947808892 4250921713338 5667895617784 6376382570007 8501843426676 11335791235568 12752765140014 17003686853352 25505530280028 34007373706704 51011060560056 102022121120112