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12210691900 = 22521137300017
BaseRepresentation
bin10110101111101000…
…00101111100111100
31011111222120102022011
423113310011330330
5200001414120100
65335353301004
7611410111561
oct132764057474
934458512264
1012210691900
1151a6687610
122449404764
1311c79c35a4
1483b9c4868
154b6edcbba
hex2d7d05f3c

12210691900 has 72 divisors (see below), whose sum is σ = 29687381136. Its totient is φ = 4320230400.

The previous prime is 12210691819. The next prime is 12210691901. The reversal of 12210691900 is 919601221.

It is a super-2 number, since 2×122106919002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210691901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109309 + ... + 190708.

It is an arithmetic number, because the mean of its divisors is an integer number (412324738).

Almost surely, 212210691900 is an apocalyptic number.

12210691900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210691900 is an abundant number, since it is smaller than the sum of its proper divisors (17476689236).

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

12210691900 is a wasteful number, since it uses less digits than its factorization.

12210691900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300079 (or 300072 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 31.

The spelling of 12210691900 in words is "twelve billion, two hundred ten million, six hundred ninety-one thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 37 44 50 55 74 100 110 148 185 220 275 370 407 550 740 814 925 1100 1628 1850 2035 3700 4070 8140 10175 20350 40700 300017 600034 1200068 1500085 3000170 3300187 6000340 6600374 7500425 11100629 13200748 15000850 16500935 22201258 30001700 33001870 44402516 55503145 66003740 82504675 111006290 122106919 165009350 222012580 244213838 277515725 330018700 488427676 555031450 610534595 1110062900 1221069190 2442138380 3052672975 6105345950 12210691900