Search a number
-
+
121133674014400 = 2652160574714987
BaseRepresentation
bin11011100010101110100001…
…100111000010011011000000
3120212220021012000102222022201
4123202232201213002123000
5111334123231021430100
61105344012553242544
734341422236255615
oct3342564147023300
9525807160388281
10121133674014400
113566255903a673
1211704626403454
135278b197c2c48
1421cac888ba50c
15e00e7156236a
hex6e2ba19c26c0

121133674014400 has 84 divisors (see below), whose sum is σ = 298083172745848. Its totient is φ = 48450441738240.

The previous prime is 121133674014371. The next prime is 121133674014407. The reversal of 121133674014400 is 4410476331121.

It is a super-2 number, since 2×1211336740144002 (a number of 29 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 121133674014400.

It is not an unprimeable number, because it can be changed into a prime (121133674014407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23333707 + ... + 28048693.

Almost surely, 2121133674014400 is an apocalyptic number.

121133674014400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121133674014400 is an abundant number, since it is smaller than the sum of its proper divisors (176949498731448).

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

121133674014400 is a wasteful number, since it uses less digits than its factorization.

121133674014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4731066 (or 4731051 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 121133674014400 in words is "one hundred twenty-one trillion, one hundred thirty-three billion, six hundred seventy-four million, fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 16057 32114 64228 80285 128456 160570 256912 321140 401425 513824 642280 802850 1027648 1284560 1605700 2569120 3211400 4714987 5138240 6422800 9429974 12845600 18859948 23574935 25691200 37719896 47149870 75439792 94299740 117874675 150879584 188599480 235749350 301759168 377198960 471498700 754397920 942997400 1508795840 1885994800 3771989600 7543979200 75708546259 151417092518 302834185036 378542731295 605668370072 757085462590 1211336740144 1514170925180 1892713656475 2422673480288 3028341850360 3785427312950 4845346960576 6056683700720 7570854625900 12113367401440 15141709251800 24226734802880 30283418503600 60566837007200 121133674014400