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11121200992 = 2511219151169
BaseRepresentation
bin10100101101110000…
…00000111101100000
31001201001111112202001
422112320000331200
5140234011412432
65035313533344
7542410435336
oct122670007540
931631445661
1011121200992
11479769aa00
1221a4574254
131083082105
1477701db56
154515309e7
hex296e00f60

11121200992 has 72 divisors (see below), whose sum is σ = 25333068600. Its totient is φ = 4789002240.

The previous prime is 11121200957. The next prime is 11121201023. The reversal of 11121200992 is 29900212111.

It is a super-2 number, since 2×111212009922 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11121200992.

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, 2017 + ... + 149152.

It is an arithmetic number, because the mean of its divisors is an integer number (351848175).

Almost surely, 211121200992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121200992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12666534300).

11121200992 is an abundant number, since it is smaller than the sum of its proper divisors (14211867608).

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

11121200992 is a wasteful number, since it uses less digits than its factorization.

11121200992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151220 (or 151201 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 28.

The spelling of 11121200992 in words is "eleven billion, one hundred twenty-one million, two hundred thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 121 152 176 209 242 304 352 418 484 608 836 968 1672 1936 2299 3344 3872 4598 6688 9196 18392 36784 73568 151169 302338 604676 1209352 1662859 2418704 2872211 3325718 4837408 5744422 6651436 11488844 13302872 18291449 22977688 26605744 31594321 36582898 45955376 53211488 63188642 73165796 91910752 126377284 146331592 252754568 292663184 347537531 505509136 585326368 695075062 1011018272 1390150124 2780300248 5560600496 11121200992