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22121122112112 = 24319241100645711
BaseRepresentation
bin1010000011110011110011…
…01000000010001001110000
32220022202111000221011120010
411001321321220002021300
510344413024230041422
6115014145254214520
74442125012342152
oct501717150021160
986282430834503
1022121122112112
117059573810421
12259327b054440
13c46022355a1a
1456694d0aaad2
1528564b5bbb0c
hex141e79a02270

22121122112112 has 80 divisors (see below), whose sum is σ = 60403530513920. Its totient is φ = 6956631475200.

The previous prime is 22121122112101. The next prime is 22121122112123. The reversal of 22121122112112 is 21121122112122.

It is an interprime number because it is at equal distance from previous prime (22121122112101) and next prime (22121122112123).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50103064 + ... + 50542647.

It is an arithmetic number, because the mean of its divisors is an integer number (755044131424).

Almost surely, 222121122112112 is an apocalyptic number.

It is an amenable number.

22121122112112 is an abundant number, since it is smaller than the sum of its proper divisors (38282408401808).

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

22121122112112 is a wasteful number, since it uses less digits than its factorization.

22121122112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100645982 (or 100645976 counting only the distinct ones).

The product of its digits is 128, while the sum is 21.

Adding to 22121122112112 its reverse (21121122112122), we get a palindrome (43242244224234).

The spelling of 22121122112112 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 241 304 456 482 723 912 964 1446 1928 2892 3856 4579 5784 9158 11568 13737 18316 27474 36632 54948 73264 109896 219792 100645711 201291422 301937133 402582844 603874266 805165688 1207748532 1610331376 1912268509 2415497064 3824537018 4830994128 5736805527 7649074036 11473611054 15298148072 22947222108 24255616351 30596296144 45894444216 48511232702 72766849053 91788888432 97022465404 145533698106 194044930808 291067396212 388089861616 460856710669 582134792424 921713421338 1164269584848 1382570132007 1843426842676 2765140264014 3686853685352 5530280528028 7373707370704 11060561056056 22121122112112