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102120020212212 = 223237154134974157
BaseRepresentation
bin10111001110000010101011…
…100001110111100111110100
3111101120120121210100212200200
4113032002223201313213310
5101341113300133242322
61001105142321240500
730336633204464412
oct2716025341674764
9441516553325620
10102120020212212
112a5a1948167892
12b553664193130
1344c9b51b20562
141b308c758a2b2
15bc15993e68ac
hex5ce0ab8779f4

102120020212212 has 72 divisors (see below), whose sum is σ = 265130639742696. Its totient is φ = 33117851061504.

The previous prime is 102120020212201. The next prime is 102120020212247. The reversal of 102120020212212 is 212212020021201.

It is a happy number.

102120020212212 is a `hidden beast` number, since 1 + 0 + 21 + 200 + 20 + 212 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 80976889648656 + 21143130563556 = 8998716^2 + 4598166^2 .

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 23 ways as a sum of consecutive naturals, for example, 18043038 + ... + 23017194.

Almost surely, 2102120020212212 is an apocalyptic number.

102120020212212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102120020212212 is an abundant number, since it is smaller than the sum of its proper divisors (163010619530484).

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

102120020212212 is a wasteful number, since it uses less digits than its factorization.

102120020212212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4989617 (or 4989612 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102120020212212 its reverse (212212020021201), we get a palindrome (314332040233413).

The spelling of 102120020212212 in words is "one hundred two trillion, one hundred twenty billion, twenty million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 15413 30826 46239 61652 92478 138717 184956 277434 554868 570281 1140562 1710843 2281124 3421686 4974157 5132529 6843372 9948314 10265058 14922471 19896628 20530116 29844942 44767413 59689884 89534826 179069652 184043809 368087618 552131427 736175236 1104262854 1656394281 2208525708 3312788562 6625577124 76666681841 153333363682 230000045523 306666727364 460000091046 690000136569 920000182092 1380000273138 2760000546276 2836667228117 5673334456234 8510001684351 11346668912468 17020003368702 25530005053053 34040006737404 51060010106106 102120020212212